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Finding the Fourth Proportional to 10,502.64, 15,754.57 and 2,711.25

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Solution

The fourth proportional to 10,502.64, 15,754.57 and 2,711.25 is: 4,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.64 : 15,754.57 = 2,711.25 : x
  2. Step 2: Convert to fraction form
    10,502.64/15,754.57 = 2,711.25/x
  3. Step 3: Cross multiply
    10,502.64x = 15,754.57 × 2,711.25
  4. Step 4: Simplify right side
    10,502.64x = 42,714,571.13
  5. Step 5: Solve for x
    x = 42,714,571.13/10,502.64
  6. Step 6: Final answer
    x = 4,067.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.